New Approximation Algorithms For A System Of Generalized Nonlinear Variational Inequalities

The theory of variational inequalities is an important branch of mathematics and has many important applications in theoretical and applied science .In those years, the variational inequalities are applied to solve some problem arisen in applied mathematics.physics, nonlinear program,economics.finance and transport fields.Not long ago,A.Nagurney discussed a series of financial problems that based on variational inequalities.This is a wider and better use of variational inequalities theory. In this paper .we first discuss a general portfolio model which can be formulated into a variational inequality .Then we introduce a new system of generalized nonlinear variational inequalities arid study the existence of solution.Also, the approximation-solvability of this system of generalized nonlinear variational inequalities is shown .